Solve for k -10k+64k+62=-46

$- 10 k + 64 k + 62 = - 46$

Step 1

Add $- 10 k$ and $64 k$ .

$54 k + 62 = - 46$

Step 2

Move all terms not containing $k$ to the right side of the equation.

Subtract $62$ from both sides of the equation.

$54 k = - 46 - 62$

Subtract $62$ from $- 46$ .

$54 k = - 108$

Step 3

Divide each term in $54 k = - 108$ by $54$ and simplify.

Divide each term in $54 k = - 108$ by $54$ .

$\frac{54 k}{54} = \frac{- 108}{54}$

Simplify the left side.

Cancel the common factor of $54$ .

Cancel the common factor.

$\frac{54 k}{54} = \frac{- 108}{54}$

Divide $k$ by $1$ .

$k = \frac{- 108}{54}$

Simplify the right side.

Divide $- 108$ by $54$ .

$k = - 2$